Endless lego set

The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. They noticed that a 7 kg structure could not build them. Others do. Finally, they decided to find out from what least weight they already knew, using 6, 9, and 20 kilograms to build each building. What is the smallest weight of the building from which all the heavier buildings can be built?

Correct answer:

m =  44 kg

Step-by-step explanation:

6=23 9=32 20=225 LCM(6,9,20)=22325=180  m1=LCM(6,9,20)=180 m = 2 3 a + 3 3 b + 2 2 5 c m = 2 (3a + 2 5c) + 3 3b  44 = 22   11 m=44=44 kg

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
Do you want to perform natural numbers division - find the quotient and remainder?

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: